We propose a convex combination of two blind equalizers adapted respectively by CMA (Constant Modulus Algorithm) and SWA (Shalvi-Weinstien Algorithm). The performance of the proposed scheme is, in the worst case, as good as that of the best of its components. This behavior provides a good tracking capability, since both CMA or SWA may have a better tracking performance, depending on the kind of nonstationary environment. A steady-state analysis (using energy conservation) is also presented, considering both the proposed scheme, and the convex combination of two CMAs.